Question

Which of the following triplets are Pythagorean?
(3, 4, 5), (6, 7, 8), (10, 24, 26), (2,3,4)​

Answer 1

Answer:

(3, 4, 5) forms a Pythagorean triplet

Step-by-step explanation:

Let the smallest even number be 2m

(i) (3,4,5)

2m=4

⇒m=2

m

2

−1=4−1=3

m

2

+1=4+1=5

∴(3,4,5) is a Pythagorean triplet.

(ii) (10,24,26)

2m=10

⇒m=5

m

2

−1=25−1=24

m

2

+1=25+1=26

∴(10,24,26) is not a Pythagorean triplet.

(iii) (6,7,8)

2m=6

⇒m=3

m

2

−1=9−1=8

m

2

+1=9+1=10

∴(6,7,8) is not a Pythagorean triplet.

(iv) (2,3,4)

2m=2

⇒m=1

m

2

−1=1−1=0

m

2

+1=1+1=2

∴(2,3,4) is not a Pythagorean triplet.

Answer 2

Answer:

Heya mate I hope u are doing great in ur life ,,,, let's head to the question...

The question is asking to find the Pythagorean triplets among the following options....

TO FIND :-PYTHAGOREAN TRIPLETS....IT MEANS THAT IF THE SMALL TWO NUMBERS ARE SQUARED,THE SUM THE THE SQUARES OF THESE TWO NUMBERS WILL BE ALWAYS EQUAL TO THE THIRD NUMBER'S SQUARE....

LET'S USE THIS PROPERTY....

• (3,4,5)=3²+4²=5²

=9+16=25

=25=25 , So this is a Pythagorean triplet....

• (6,7,8)=6²+7²=8²

=36+49=64

=85≠64, So this is not a Pythagorean triplet...

• (10,24,26)=10²+24²=26²

=100+576=676

=676=676, So this is a Pythagorean triplet......

• (2,3,4)=2²+3²=4²

=4+9=16

=13≠16, So this is not a Pythagorean triplet......

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